λ
Harmonic Matrix

3,694,281

3 × 29 × 42463
Deficient Odd Composite

3,694,281 has digital root 6. The neighboring primes are 3694279 and 3694297; its proper-divisor sum differs from the starting integer by -2,292,882.

Prime Factor Structure

Factorization String 3 × 29 × 42463
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,095,680
Proper Divisor Sum 1,401,399
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3694279 ← → #3694297

Radix Representation

Decimal 3694281
Binary 1110000101111011001001 (22 bits)
Octal 0o16057311
Hexadecimal 0x385EC9

Divisor Catalog (8)

1 3 29 87 42,463 127,389 1,231,427 3,694,281

Collatz Trajectory (159 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,694,281 11,082,844 5,541,422 2,770,711 8,312,134 4,156,067 12,468,202 6,234,101 18,702,304 9,351,152 4,675,576 2,337,788 1,168,894 584,447 1,753,342 876,671 2,630,014 1,315,007 3,945,022 1,972,511 5,917,534 2,958,767 8,876,302 4,438,151 13,314,454 6,657,227 19,971,682 9,985,841 29,957,524 14,978,762 7,489,381 22,468,144 11,234,072 5,617,036 2,808,518 1,404,259 4,212,778 2,106,389 6,319,168 3,159,584 1,579,792 789,896 394,948 197,474 98,737 296,212 148,106 74,053 222,160 111,080 55,540 27,770 13,885 41,656 20,828 10,414 5,207 15,622 7,811 23,434

More profiles

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